# zbMATH — the first resource for mathematics

## Gilardi, Gianni

Compute Distance To:
 Author ID: gilardi.gianni.1 Published as: Gilardi, Gianni; Gilardi, G.
 Documents Indexed: 111 Publications since 1972, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 16 single-authored 69 Colli, Pierluigi 42 Sprekels, Jürgen 13 Rocca, Elisabetta 9 Grasselli, Maurizio 8 Guidugli, Paolo Podio 7 Marinoschi, Gabriela 6 Bonetti, Elena 6 Schimperna, Giulio 5 Krejčí, Pavel 4 Barbu, Viorel 4 Fabrizio, Mauro 2 Alt, Hans Wilhelm 2 Carrillo Menéndez, José 2 Gastaldi, Fabio 2 Luckhaus, Stephan 2 Marson, Andrea 2 Miranville, Alain M. 2 Stefanelli, Ulisse 1 Bernardi, Marco Luigi 1 Brezzi, Franco 1 Caffarelli, Luis Ángel 1 Colli Franzone, Piero 1 Diaz Diaz, Jesus Ildefonso 1 Dreyer, Wolfgang 1 Farshbaf-Shaker, Mohammad Hassan 1 Fernandes, Paolo R. 1 Gastaldi, Lucia 1 Geymonat, Giuseppe 1 Gianazza, Ugo Pietro 1 Hilhorst, Danielle 1 Hömberg, Dietmar 1 Kröner, Dietmar 1 Laurençot, Philippe 1 Munteanu, Ionut 1 Nakayashiki, Ryota 1 Novick-Cohen, Amy 1 Podio-Guidugli, Paulo 1 Sharf, Inna 1 Shirakawa, Ken
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#### Serials

 5 Journal of Differential Equations 4 Mathematical Methods in the Applied Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Mathematical Analysis and Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Advances in Mathematical Sciences and Applications 3 Discrete and Continuous Dynamical Systems 3 Evolution Equations and Control Theory 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Optimization Theory and Applications 2 Asymptotic Analysis 2 Differential and Integral Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Applied Mathematics 1 International Journal of Control 1 Nonlinearity 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Control and Cybernetics 1 Hiroshima Mathematical Journal 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Revista Matemática de la Universidad Complutense de Madrid 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Continuum Mechanics and Thermodynamics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 1 Communications on Applied Nonlinear Analysis 1 Mechanism and Machine Theory 1 Nonlinear Analysis. Real World Applications 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Rendiconti. Classe di Scienze Matematiche e Naturali 1 Mathematical Control and Related Fields 1 Springer INdAM Series 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics
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#### Fields

 92 Partial differential equations (35-XX) 29 Classical thermodynamics, heat transfer (80-XX) 27 Mechanics of deformable solids (74-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 18 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

91 Publications have been cited 986 times in 446 Documents Cited by Year
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
1997
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
Literature survey of contact dynamics modelling. Zbl 1062.70553
Gilardi, G.; Sharf, I.
2002
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067
Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio
2010
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
2015
Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
The behavior of the free boundary for the dam problem. Zbl 0521.76092
Alt, Hans Wilhelm; Gilardi, Gianni
1982
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
A new approach to evolution free boundary problems. Zbl 0426.35096
Gilardi, Gianni
1979
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2007
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2006
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Counter-example to Korn’s inequality and to the lemma of Lions in irregular domains. (Contre-exemples à l’inégalité de Korn et au lemme de Lions dans des domaines irréguliers.) Zbl 0915.35018
Geymonat, Giuseppe; Gilardi, Gianni
1998
Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012
Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy
1999
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Monotonicity of free boundary in the two-dimensional dam problem. Zbl 0513.76090
Caffarelli, Luis A.; Gilardi, Gianni
1980
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On a conserved phase field model with irregular potentials and dynamic boundary conditions. Zbl 1203.35193
Gilardi, Gianni
2009
La vitesse de propagation dans le problème de la digue. (The speed of propagation in the dam problem). Zbl 0723.76094
Carrillo, José; Gilardi, Gianni
1990
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Teoremi di regolarita per la soluzione di un’equazione differenziale astratta lineare del secondo ordine. Zbl 0298.34057
Gilardi, Gianni
1972
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005
Gilardi, Gianni; Stefanelli, Ulisse
2006
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Optimal control problems of phase relaxation models. Zbl 1008.49003
Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G.
2001
Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007
Gilardi, Gianni; Rocca, Elisabetta
2007
On a Penrose-Fife type system with Dirichlet boundary conditions for temperature. Zbl 1029.82014
Gilardi, Gianni; Marson, Andrea
2003
Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2009
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2016
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni. Zbl 0364.76079
Gilardi, Gianni
1977
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007
Gilardi, Gianni; Rocca, Elisabetta
2006
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083
Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni
2014
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Asymptotic justification of the phase-field model with memory. Zbl 1110.35355
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003
Gilardi, Gianni; Stefanelli, Ulisse
2007
Asymptotic analysis of a phase field model with memory for vanishing time relaxation. Zbl 0927.35022
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di frontiera libera. Zbl 0355.76064
Gilardi, Gianni
1976
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Convergence of phase field to phase relaxation models with memory. Zbl 0880.35052
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1996
Hysteresis in phase-field models with thermal memory. Zbl 0957.35064
Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2000
Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J.
2017
Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2017
Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
On a conserved Penrose-Fife type system. Zbl 1099.35022
Gilardi, Gianni; Marson, Andrea
2005
Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys. Zbl 1333.35271
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2016
On a definition of seminorm in $$W^{s,p}(\Gamma)$$. Zbl 0704.46023
Gastaldi, Fabio; Gilardi, Gianni
1989
The evolution dam problem. Zbl 0481.76099
Gilardi, G.
1980
The conserved phase field system with memory. Zbl 0957.35123
Gilardi, Gianni
2000
Weak solution to hyperbolic Stefan problems. Zbl 0878.35121
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
A regularity result for the solution of the dam problem. Zbl 0845.35136
Gilardi, Gianni; Luckhaus, Stephan
1996
The dam problem in unbounded domains. Zbl 0787.76086
Gilardi, Gianni; Kröner, Dietmar
1993
The support of the solution in the dam problem. Zbl 0793.76091
Gilardi, G.
1993
The propagation of the free boundary of the solution of the dam problem and related problems. Zbl 0790.35053
Carrillo, José; Díaz, Jesus Ildefonso; Gilardi, Gianni
1993
Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 1461.93400
Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut
2021
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269
Gilardi, Gianni; Sprekels, Jürgen
2019
An error estimate for an approximation of a parabolic variational inequality. Zbl 0523.65050
Gastaldi, Lucia; Gilardi, Gianni
1982
Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154
Colli, Pierluigi; Gilardi, Gianni
2019
Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 1461.93400
Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut
2021
Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269
Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154
Colli, Pierluigi; Gilardi, Gianni
2019
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J.
2017
Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2017
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2016
Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys. Zbl 1333.35271
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2016
Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083
Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni
2014
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067
Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio
2010
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
On a conserved phase field model with irregular potentials and dynamic boundary conditions. Zbl 1203.35193
Gilardi, Gianni
2009
Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2009
Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2007
Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007
Gilardi, Gianni; Rocca, Elisabetta
2007
Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003
Gilardi, Gianni; Stefanelli, Ulisse
2007
Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2006
Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005
Gilardi, Gianni; Stefanelli, Ulisse
2006
Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007
Gilardi, Gianni; Rocca, Elisabetta
2006
On a conserved Penrose-Fife type system. Zbl 1099.35022
Gilardi, Gianni; Marson, Andrea
2005
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
On a Penrose-Fife type system with Dirichlet boundary conditions for temperature. Zbl 1029.82014
Gilardi, Gianni; Marson, Andrea
2003
Literature survey of contact dynamics modelling. Zbl 1062.70553
Gilardi, G.; Sharf, I.
2002
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Optimal control problems of phase relaxation models. Zbl 1008.49003
Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G.
2001
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
Hysteresis in phase-field models with thermal memory. Zbl 0957.35064
Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2000
The conserved phase field system with memory. Zbl 0957.35123
Gilardi, Gianni
2000
Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012
Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy
1999
Asymptotic justification of the phase-field model with memory. Zbl 1110.35355
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Asymptotic analysis of a phase field model with memory for vanishing time relaxation. Zbl 0927.35022
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Counter-example to Korn’s inequality and to the lemma of Lions in irregular domains. (Contre-exemples à l’inégalité de Korn et au lemme de Lions dans des domaines irréguliers.) Zbl 0915.35018
Geymonat, Giuseppe; Gilardi, Gianni
1998
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
1997
Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Weak solution to hyperbolic Stefan problems. Zbl 0878.35121
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Convergence of phase field to phase relaxation models with memory. Zbl 0880.35052
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1996
A regularity result for the solution of the dam problem. Zbl 0845.35136
Gilardi, Gianni; Luckhaus, Stephan
1996
The dam problem in unbounded domains. Zbl 0787.76086
Gilardi, Gianni; Kröner, Dietmar
1993
The support of the solution in the dam problem. Zbl 0793.76091
Gilardi, G.
1993
The propagation of the free boundary of the solution of the dam problem and related problems. Zbl 0790.35053
Carrillo, José; Díaz, Jesus Ildefonso; Gilardi, Gianni
1993
La vitesse de propagation dans le problème de la digue. (The speed of propagation in the dam problem). Zbl 0723.76094
Carrillo, José; Gilardi, Gianni
1990
On a definition of seminorm in $$W^{s,p}(\Gamma)$$. Zbl 0704.46023
Gastaldi, Fabio; Gilardi, Gianni
1989
The behavior of the free boundary for the dam problem. Zbl 0521.76092
Alt, Hans Wilhelm; Gilardi, Gianni
1982
An error estimate for an approximation of a parabolic variational inequality. Zbl 0523.65050
Gastaldi, Lucia; Gilardi, Gianni
1982
Monotonicity of free boundary in the two-dimensional dam problem. Zbl 0513.76090
Caffarelli, Luis A.; Gilardi, Gianni
1980
The evolution dam problem. Zbl 0481.76099
Gilardi, G.
1980
A new approach to evolution free boundary problems. Zbl 0426.35096
Gilardi, Gianni
1979
Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni. Zbl 0364.76079
Gilardi, Gianni
1977
Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di frontiera libera. Zbl 0355.76064
Gilardi, Gianni
1976
Teoremi di regolarita per la soluzione di un’equazione differenziale astratta lineare del secondo ordine. Zbl 0298.34057
Gilardi, Gianni
1972
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#### Cited by 510 Authors

 56 Colli, Pierluigi 53 Gilardi, Gianni 32 Sprekels, Jürgen 25 Rocca, Elisabetta 18 Miranville, Alain M. 17 Schimperna, Giulio 15 Bonetti, Elena 15 Ciarlet, Patrick jun. 15 Scarpa, Luca 10 Lam, Kei Fong 9 Fukao, Takeshi 9 Garcke, Harald 9 Marinoschi, Gabriela 9 Signori, Andrea 8 Grasselli, Maurizio 7 Bowling, Alan P. 7 Fabrizio, Mauro 6 Ciarlet, Philippe Gaston 6 Duan, Huoyuan 6 Zheng, Jiashan 5 Alekseev, Gennady V. 5 Barbu, Viorel 5 Bonfanti, Giovanna 5 Carrillo Menéndez, José 5 Gal, Ciprian Gheorghe Sorin 5 Heinemann, Christian 5 Kraus, Christiane 5 Lyaghfouri, Abdeslem 5 Rossi, Riccarda 5 Stefanelli, Ulisse 5 Tan, Roger C. E. 5 Wu, Hao 5 Zhao, Xiaopeng 5 Zhu, Peicheng 4 Alt, Hans Wilhelm 4 Cherfils, Laurence 4 Colturato, Michele 4 Davoli, Elisa 4 Ebenbeck, Matthias 4 Flores, Paulo 4 Frémond, Michel 4 Gatti, Stefania 4 Perugia, Ilaria 4 Schötzau, Dominik 4 Segatti, Antonio 4 Serrano, Hélia 4 Tomassetti, Giuseppe 3 Alber, Hans-Dieter 3 Alonso Rodríguez, Ana 3 Barhorst, Alan A. 3 Bernardi, Marco Luigi 3 Buffa, Annalisa 3 Chatterjee, Abhishek 3 Colombo, Fabrizio 3 Durán, Ricardo G. 3 Feireisl, Eduard 3 Friedman, Avner 3 Frigeri, Sergio 3 Jamelot, Erell 3 Knopf, Patrik 3 Krejčí, Pavel 3 Kubo, Masahiro 3 Lin, Ping 3 Liu, Chein-Shan 3 Pata, Vittorino 3 Qi, Zhaohui 3 Schneebeli, Anna 3 Shirakawa, Ken 3 Trussardi, Lara 3 Valli, Alberto 3 Visintin, Augusto 3 Wang, Yifu 3 Zelik, Sergey V. 2 Acevedo, Ramiro 2 Acosta, Gabriel 2 Aizicovici, Sergiu 2 Ambrósio, Jorge A. C. 2 Amrouche, Chérif 2 Argatov, Ivan I. 2 Arosio, Alberto 2 Auchmuty, Giles 2 Berti, Valeria 2 Biswas, Tania 2 Boffi, Daniele 2 Boldrini, José Luiz 2 Bonfoh, Ahmed S. 2 Bonnet-Ben Dhia, Anne-Sophie 2 Brizitskii, R. V. 2 Caffarelli, Luis Ángel 2 Cai, Guoping 2 Cavaterra, Cecilia 2 Dharmatti, Sheetal 2 Enyi, Cyril Dennis 2 Flickinger, Daniel Montrallo 2 Friedrich, Manuel 2 Gómez, Christian 2 Guidugli, Paolo Podio 2 Heida, Martin 2 Houston, Paul 2 Jiao, Yujuan ...and 410 more Authors
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#### Cited in 129 Serials

 25 Journal of Mathematical Analysis and Applications 25 Multibody System Dynamics 22 Journal of Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Applied Mathematics and Optimization 15 Nonlinear Analysis. Real World Applications 11 Computer Methods in Applied Mechanics and Engineering 11 Mathematical Methods in the Applied Sciences 10 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Numerische Mathematik 8 SIAM Journal on Control and Optimization 7 Archive for Rational Mechanics and Analysis 7 Physica D 7 Applications of Mathematics 7 SIAM Journal on Mathematical Analysis 7 Discrete and Continuous Dynamical Systems 6 European Journal of Applied Mathematics 6 Communications on Pure and Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series S 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Zeitschrift für Analysis und ihre Anwendungen 5 Asymptotic Analysis 5 Journal of Scientific Computing 5 Journal of Integral Equations and Applications 5 Journal of Vibration and Control 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Nonlinear Dynamics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Evolution Equations and Control Theory 4 Computers & Mathematics with Applications 4 International Journal of Control 4 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Boundary Value Problems 3 Nonlinearity 3 Meccanica 3 Quarterly of Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Journal of Nonlinear Science 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Applications (Singapore) 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mechanism and Machine Theory 2 Journal of Mathematical Fluid Mechanics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Archives of Computational Methods in Engineering 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 2 Acta Mechanica Sinica 2 Mathematical Control and Related Fields 2 Advances in Nonlinear Analysis 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Elliptic and Parabolic Equations 1 International Journal of Engineering Science 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Automatica 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Glasnik Matematički. Serija III 1 Expositiones Mathematicae 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) ...and 29 more Serials
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#### Cited in 32 Fields

 315 Partial differential equations (35-XX) 92 Mechanics of deformable solids (74-XX) 87 Fluid mechanics (76-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 69 Numerical analysis (65-XX) 57 Classical thermodynamics, heat transfer (80-XX) 49 Optics, electromagnetic theory (78-XX) 45 Mechanics of particles and systems (70-XX) 40 Biology and other natural sciences (92-XX) 27 Integral equations (45-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Operator theory (47-XX) 17 Systems theory; control (93-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Ordinary differential equations (34-XX) 10 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Relativity and gravitational theory (83-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)